What is the Greatest Common Factor of 62042 and 62056?

Greatest common factor (GCF) of 62042 and 62056 is 2.

GCF(62042,62056) = 2

We will now calculate the prime factors of 62042 and 62056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62042 and 62056.

How to find the GCF of 62042 and 62056?

We will first find the prime factorization of 62042 and 62056. After we will calculate the factors of 62042 and 62056 and find the biggest common factor number .

Step-1: Prime Factorization of 62042

Prime factors of 62042 are 2, 67, 463. Prime factorization of 62042 in exponential form is:

62042 = 2¹ × 67¹ × 463¹

Step-2: Prime Factorization of 62056

Prime factors of 62056 are 2, 7757. Prime factorization of 62056 in exponential form is:

62056 = 2³ × 7757¹

Step-3: Factors of 62042

List of positive integer factors of 62042 that divides 62042 without a remainder.

1, 2, 67, 134, 463, 926, 31021

Step-4: Factors of 62056

List of positive integer factors of 62056 that divides 62042 without a remainder.

1, 2, 4, 8, 7757, 15514, 31028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62042 and 62056. The biggest common factor number is the GCF number.
So the greatest common factor 62042 and 62056 is 2.

Also check out the Least Common Multiple of 62042 and 62056